The error estimations of a two-level linearized compact ADI method for solving the nonlinear coupled wave equations
From MaRDI portal
Publication:2118955
DOI10.1007/s11075-021-01168-9OpenAlexW3188418281MaRDI QIDQ2118955
Publication date: 23 March 2022
Published in: Numerical Algorithms (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11075-021-01168-9
error estimationscompact ADI methodnonlinear coupled Klein-Gordon equationsnonlinear coupled sine-Gordon equations
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The compact and Crank-Nicolson ADI schemes for two-dimensional semilinear multidelay parabolic equations
- The study of a fourth-order multistep ADI method applied to nonlinear delay reaction-diffusion equations
- Error estimates in the energy space for a Gautschi-type integrator spectral discretization for the coupled nonlinear Klein-Gordon equations
- Fourth-order alternating direction implicit compact finite difference schemes for two-dimensional Schrödinger equations
- High order compact alternating direction implicit method for the generalized sine-Gordon equation
- Exact solutions of coupled sine-Gordon equations
- Compact finite difference schemes with spectral-like resolution
- Numerical solution of a nonlinear Klein-Gordon equation
- The use of radial basis functions (RBFs) collocation and RBF-QR methods for solving the coupled nonlinear sine-Gordon equations
- An efficient high-order algorithm for solving systems of 3-D reaction-diffusion equations
- High order ADI method for solving unsteady convection-diffusion problems
- A two-level linearized compact ADI scheme for two-dimensional nonlinear reaction-diffusion equations
- The high-order multistep ADI solver for two-dimensional nonlinear delayed reaction-diffusion equations with variable coefficients
- Linearly implicit and high-order energy-conserving schemes for nonlinear wave equations
- Linearized ADI schemes for two-dimensional space-fractional nonlinear Ginzburg-Landau equation
- Exponential compact ADI method for a coupled system of convection-diffusion equations arising from the 2D unsteady magnetohydrodynamic (MHD) flows
- The energy-preserving finite difference methods and their analyses for system of nonlinear wave equations in two dimensions
- The time fourth-order compact ADI methods for solving two-dimensional nonlinear wave equations
- Global solutions and finite time blow up for some system of nonlinear wave equations
- The periodic solutions for a class of coupled nonlinear Klein-Gordon equations
- On the exchange of energy in coupled Klein --- Gordon equations
- A general formulation of alternating direction methods. I: Parabolic and hyperbolic problems
- A two-level compact ADI method for solving second-order wave equations
- Unconditionally stable ADI scheme of higher-order for linear hyperbolic equations
- Error Estimate of Fourth-Order Compact Scheme for Linear Schrödinger Equations
- The multistep finite difference fractional steps method for a class of viscous wave equations
- Maximum norm error bounds of ADI and compact ADI methods for solving parabolic equations
- Asymptotic behavior of the solutions of a nonlinear system of Klein-Gordon equations
- An efficient high-order algorithm for solving systems of reaction-diffusion equations
- An economical difference scheme for heat transport equation at the microscale
- Finite Difference Calculus Invariant Structure of a Class of Algorithms for the Nonlinear Klein–Gordon Equation
- Optimal Superconvergence of Energy Conserving Local Discontinuous Galerkin Methods for Wave Equations
- Numerical Simulation of the Coupled Sine-Gordon Equations via a Linearized and Decoupled Compact ADI Method
This page was built for publication: The error estimations of a two-level linearized compact ADI method for solving the nonlinear coupled wave equations
